Operator inequalities and characterizations

2020/05/17 by Ameur Seddik, Seddik, Ameur
Mathematics · #Holomorphic and Operator Theory #Mathematical Inequalities and Applications #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.2005.08299

Abstract

In this survey, we shall present characterizations of some distinguished classes of Hilbertian bounded linear operators (namely, normal operators, selfadjoint operators, and unitary operators) in terms of operator inequalities related to the arithmetic-geometric mean inequality. For the class of all normal operators, we shall present new general characterizations.

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